On the Cauchy problem for the two-component Camassa–Holm system
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- Gui, G. & Liu, Y. Math. Z. (2011) 268: 45. doi:10.1007/s00209-009-0660-2
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In this paper we establish the local well-posedness for the two-component Camassa–Holm system in a range of the Besov spaces. We also derive a wave-breaking mechanism for strong solutions. In addition, we determine the exact blow-up rate of such solutions to the system.